Fuzzy Linear Programming Method for Deriving Priorities in the Fuzzy Analytic Hierarchy Process

There are various methods for obtaining the preference vector of pair-wise comparison matrix factors. These methods can be employed when the elements of pair-wise comparison matrix are crisp while they are inefficient for fuzzy elements of pair-wise comparison matrix. In this paper, a method is proposed by which the preference vector of pair-wise comparison matrix elements can be obtained even if these elements are fuzzy. First we describe the method for the case of crisp pair-wise comparison matrix and then extend it to the case in which the pair-wise comparison matrix elements are fuzzy, finally, conclusion will be provided.